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Finding the Fourth Proportional to 2,409.98, 3,615.53 and 849.92

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Solution

The fourth proportional to 2,409.98, 3,615.53 and 849.92 is: 1,275.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.98 : 3,615.53 = 849.92 : x
  2. Step 2: Convert to fraction form
    2,409.98/3,615.53 = 849.92/x
  3. Step 3: Cross multiply
    2,409.98x = 3,615.53 × 849.92
  4. Step 4: Simplify right side
    2,409.98x = 3,072,888.93
  5. Step 5: Solve for x
    x = 3,072,888.93/2,409.98
  6. Step 6: Final answer
    x = 1,275.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.